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A tiny dust particle of mass 8.50μg8.50 \mu \mathrm { g } is being observed under a microscope. Its position is determined to be within a space of 0.0060 mm0.0060 \mathrm {~mm} . ( h=6.626×1034 Jsh = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } ) (a) Find the uncertainty in its speed implied by the uncertainty in its position. (b) Assuming the dust particle is moving at the speed in part (a), how many years would it take for the particle to move 1.0 mm1.0 \mathrm {~mm} ?

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What is the minimum uncertainty in determining the position of an electron if the speed of the electron is 6.0 km/s6.0 \mathrm {~km} / \mathrm { s } within an accuracy of 0.0040%0.0040 \% ? (melectron =9.11×1031 kg,h=6.626×1034= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } Js) \mathrm { J } \cdot \mathrm { s } )


A) 0.15 mm0.15 \mathrm {~mm}
B) 0.11 mm0.11 \mathrm {~mm}
C) 0.24 mm0.24 \mathrm {~mm}
D) 0.48 mm0.48 \mathrm {~mm}
E) 0.34 mm0.34 \mathrm {~mm}

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Neon has 10 electrons. What is the value of ZZ of the next higher element that has chemical properties very similar to those of neon?


A) 19
B) 11
C) 18
D) 17
E) 36

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A baseball has mass 143 g143 \mathrm {~g} and a speed of 45 m/s45 \mathrm {~m} / \mathrm { s } , with the speed known to within 0.10%0.10 \% . What is the minimum uncertainty in the position of the baseball? (h=6.626×1034 Js) \left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)


A) 1.6×1032 m1.6 \times 10 ^ { - 32 } \mathrm {~m}
B) 1.8 nm1.8 \mathrm {~nm}
C) 1.4×1032 m1.4 \times 10 ^ { - 32 } \mathrm {~m}
D) 1.4×1030 m1.4 \times 10 ^ { - 30 } \mathrm {~m}
E) 1.6×1030 m1.6 \times 10 ^ { - 30 } \mathrm {~m}

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For an electron in the M (n=3)( n = 3 ) shell, find (a) the largest possible orbital angular momentum it can have, and (b) the smallest possible orbital angular momentum it can have. Express your answers in SI units, and for each case indicate the subshell (s,p,d,)( s , p , d , \ldots ) of the electron. (h=6.626×1034 Js)\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)

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In a hydrogen atom, a given electron has n = 7. How many possible values can ʆ have?


A) 6
B) 98
C) 7
D) 15

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According to Pauli's exclusion principle, how many electrons in an atom may have a particular set of quantum numbers?


A) 4
B) 5
C) 2
D) 3
E) 1

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The magnetic quantum number m1 can have any integer value ranging from


A) -\ell to ++ \ell
B) 0 to nn .
C) 0 to \ell .
D) n- n to +n+ n .
E) 0 to (n1) ( n - 1 )

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A hydrogen atom is in the 6h state. What is the principal quantum number.


A) 6
B) 7
C) 5
D) 0
E) 3

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How many values of the magnetic quantum number, mʆ, correspond to a value of ʆ = 4?


A) 7
B) 5
C) 9
D) 8
E) 3

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Write out the electron configuration for the ground state of the phosphorus atom, which has 15 electrons.

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According to the quantum mechanical model of the hydrogen atom, if the principal quantum number is n, how many different orbital angular momentum quantum numbers are permitted?


A) 2n
B) 4n
C) 3n
D) n
E) n/2

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What is the electron configuration for Li, which has 3 electrons?


A) 1s22s11 s ^ { 2 } 2 s 1
B) 1s21p11 s ^ { 2 } 1 p ^ { 1 }
C) 1s12s21 s ^ { 1 } 2 s ^ { 2 }
D) 1s12s13s11 s ^ { 1 } 2 s ^ { 1 } 3 s 1
E) 1s31 s ^ { 3 }

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How many electrons can be found with principal quantum number n = 3 in a suitably heavy atom?


A) 18
B) 6
C) 9
D) 20

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If you confine an electron to a box and know that the uncertainty in the electron's speed is 65 m/s65 \mathrm {~m} / \mathrm { s } , what is the smallest length that the box could have? (melectron =9.11×1031 kg,h=6.626×1034= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } J.s)


A) 1.8×105 m1.8 \times 10 ^ { - 5 } \mathrm {~m}
B) 8.4×106 m8.4 \times 10 ^ { - 6 } \mathrm {~m}
C) 1.1×105 m1.1 \times 10 ^ { - 5 } \mathrm {~m}
D) 5.8×106 m5.8 \times 10 ^ { - 6 } \mathrm {~m}
E) 1.8×106 m1.8 \times 10 ^ { - 6 } \mathrm {~m}

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What is the maximum number of electrons that can occupy the g subshell?


A) 18
B) 22
C) 14
D) 10

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What is the greatest magnitude of the orbital angular momentum LL that you can find in a state with n=6n = 6 ?


A) 5.92h2π5.92 \frac { h } { 2 \pi }
B) 6.48h2π6.48 \frac { h } { 2 \pi }
C) 6h2π6 \frac { h } { 2 \pi }
D) 5.48h2π5.48 \frac { h } { 2 \pi }

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The only invalid electron state and shell designation among the following is


A) 3d,M(n=3) 3 d , \mathrm { M } ( n = 3 ) shell.
B) 3s,M(n=3) 3 s , \mathrm { M } ( n = 3 ) shell.
C) 2d, L(n=2) 2 d , \mathrm {~L} ( n = 2 ) shell.
D) 1s, K(n=1) 1 s , \mathrm {~K} ( n = 1 ) shell.
E) 2s,L(n=2) 2 s , L ( n = 2 ) shell.

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Suppose that the speed of an electron traveling 2.0 km/s2.0 \mathrm {~km} / \mathrm { s } is known to an accuracy of 1 part in 10510 ^ { 5 } (i.e., within 0.0010%0.0010 \% ) . What is the least possible uncertainty within which we can determine the position of this electron? ( melectron =9.11×1031 kg,h=6.626×1034 Js) \left. m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)


A) 2.0 mm2.0 \mathrm {~mm}
B) 14 cm14 \mathrm {~cm}
C) 5.8 mm5.8 \mathrm {~mm}
D) 14 mm14 \mathrm {~mm}
E) 8.5 nm8.5 \mathrm {~nm}

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A hydrogen atom is in the 6h state. Which one of the following is not a magnetic quantum number for that state?


A) 2
B) 4
C) 1
D) 6
E) 0

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